Question

Which all are rational numbers?
1 .Terminating
2 .non terminating repeating
3 .non terminating non repeating

Answer 1

1)
A decimal number that has digits that do not go on forever.

Examples:

0.25 (it has two decimal digits)
3.0375 (it has four decimal digits
2.

Any fraction (rational number) whose denominator has factors OTHER than 2 or 5 or 2 and 5 will result in a repeating decimal equivalent that continues infinitely.

1/2 and 1/5 and 1/10 are all terminating (non-repeating) decimals, as are any other fraction whose denominator is a power of 2, a power of 5, or a power of 10.

If any other factors appear in the denominator, the resulting decimal will be a repeating, non-terminating decimal.

Examples of fractions that result in non-terminating repeating decimals are 1/3, 1/9, 1/7, 1/22, 1/35. etc.

3.)
A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly.

Pi is a non-terminating, non-repeating decimal. π = 3.141 592 653 589 793 238 462 643 383 279 ...

e is a non-terminating, non-repeating decimal. e = 2.718 281 828 459 045 235 360 287 471 352 ...